The value of x should be 59 to make the triangles similar.
In order to make a fraction a ratio, you must simplify it if it is needed. So for 12/9, you can divide 3 from the numerator and denominator. That would equal 4/3. Now that it is simplified, you can make it into a ratio. (can be using ":" or using the word "to")
One way it can be used is --> 4:3
Another way --> 4 to 3
Good luck!
Answer:
A) 1 1/2
Step-by-step explanation:
First, make sure both of the fractions are improper fractions. -2 1/4 will become -9/4 and -1 1/2 becomes -3/2. Then we do the keep, switch, flip trick and get -9/4 X -2/3 and multiply across. Since we have two negatives, the answer becomes positive. When we multiply across we get 18/12, then we reduce and get 1 6/12 which is the same as 1 1/2.
The circumference of a circle can be calculated using the following equation;
circumference = 2πr
The radius of the given circle = 6 in.
The circumference of the circle = 2π *6
= 12π in.
circumference of a complete circle is when the central angle is 360°.
we are asked to find the length of an arc when the central angle is 45°.
the length when central angle is 360° = 12π
therefore when central angle is 45° = 12π /360 * 45
the length of the arc = 1.5π in.
Answer:
C ≈ 11.71 cm
Step-by-step explanation:
using the ratio arc AC : circumference C = angle at centre of sector : 360°
= 
, that is
= ( cross- multiply )
123 × C = 4 × 360 = 1440 ( divide both sides by 123 )
C = 
≈ 11.71 cm ( to the nearest hundredth )
